Finding the Third Proportional to 27,758 and 57,784

Step by Step Solution

1. Step 1: Write the proportion equation
   27,758 : 57,784 = 57,784 : x
2. Step 2: Convert to fraction form
   27,758/57,784 = 57,784/x
3. Step 3: Cross multiply
   27,758x = 57,784 × 57,784
4. Step 4: Simplify right side
   27,758x = 3,338,990,656
5. Step 5: Solve for x
   x = 3,338,990,656/27,758
6. Step 6: Final answer
   x = 120,289.31